225251224000 has 448 divisors, whose sum is σ = 647814360960. Its totient is φ = 76943360000.

The previous prime is 225251223997. The next prime is 225251224087. The reversal of 225251224000 is 422152522.

It is a super-2 number, since 2×225251224000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432343740 + ... + 432344260.

Almost surely, 2^225251224000 is an apocalyptic number.

225251224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225251224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323907180480).

225251224000 is an abundant number, since it is smaller than the sum of its proper divisors (422563136960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225251224000 is an equidigital number, since it uses as much as digits as its factorization.

225251224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 225251224000 its reverse (422152522), we get a palindrome (225673376522).

The spelling of 225251224000 in words is "two hundred twenty-five billion, two hundred fifty-one million, two hundred twenty-four thousand".